The 23-year-old had been the Hawks’ longest-serving player, scoring 25 goals in 99 league appearances, but has now decided to step up a level to the Isthmian Premier. He has joined the Hornets for an undisclosed fee.
Relegation from the Football League in 2017 had seen the club bottom out. Beset by off-field issues, their first two seasons in Non-League resulted in 15th and 17th placed finishes, respectively.
The former Farnborough, and Whitehawk boss led the Darts from the bottom three to the National League South play-off final in his first season in charge and lay second in the table when the last campaign was curtailed.
Woodman has left his position as head of goalkeeping at Arsenal to take the job having worked under Alan Pardew at West Ham, Newcastle and Crystal Palace as goalkeeping coach.